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On A Class of Operators Occurring in the Theory of Chains of Infinite Order

Published online by Cambridge University Press:  20 November 2018

C. Ionescu Tulcea
C. Ionescu Tulcea*
Affiliation:
Yale University
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Let T, E be two sets and I ⊂ β(T),l, ⊂ β (E) two tribes. For every n ∈ N* denote by En the product E{1....,n} and by the tribe. For every x ∈ E let ux be a mapping of T into T. For x = (x1,… , xn) ∈ ∈En define ux = uxo … oxl and suppose that {(t, xi1, …, xn) ∣u(x1.....,xn)(t) ∈ A} .

Let m be the Banach space of functions defined on T, real-valued, bounded and I measurable with norm

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 11 , 1959 , pp. 112 - 121
Copyright
Copyright © Canadian Mathematical Society 1959

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